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Doctors Medicines MCQs Q&A

  1. P(Q + R) = PQ+ RP
  2. (P - Q)2 = P2 – 2PQ + Q2
  3. det (P +Q) = det P + detQ
  4. (P + Q)2 = P2 + PQ + QP + Q2
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1 Answers

Option 4 : (P + Q)2 = P2 + PQ + QP + Q2

(P + Q)2 = (P + Q).(P + Q)

            = P.P + P.Q + Q.P + Q.Q

            = P2 + PQ + QP + Q2 

[ alt="Mistake Point" src="https://storage.googleapis.com/tb-img/production/19/08/Mistake%20Point.png" style="width: 170px; height: 41px;">

We cannot write PQ + QP = 2PQ

As matrix multiplication is not commutative.

i.e. PQ ≠ QP  

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